Sizing steel beam over patio roof

[Arvido]

Hello,
I'm planning to replace my undersized support beam for the patio roof and at the same time move it out somewhat.
Due to height concerns, I'm considering using a steel beam instead of glulam/Kerto.
Is there a program for calculating steel beams similar to those available for glulam? Or is there anyone here who could calculate which steel beam is required? I'm considering an HEA beam.

Short information on the conditions:

The patio roof is 3 meters deep and 5 meters wide.
One side is attached to the house facade while the other half will rest on the steel beam (red line on attached image).

Non-insulated concrete roof tiles
Roof pitch: 14 degrees
Center-to-center distance of rafters: 1200mm
Snow zone: 2.5

 

[scorp1on]

An HEA140 beam provides the following utilization rates:

Moment: 30%
Shear strength: 16%
Deflection: 89% (15 mm compared to L/300 = 17 mm)

 

[Arvido]

An HEA140 beam gives the following utilization rates:

Moment: 30%
Shear strength: 16%
Deflection: 89% (15 mm compared to L/300 = 17 mm)

Thanks for the answer! Could the deflection be reduced by using a slightly taller IPE beam, like an IPE200? Or would something else cause issues then? Buckling?

 

[scorp1on]

IPE beams are more prone to buckling, but if there is sufficient bracing, it is not a problem.